The name Baxter is a boy's name of English origin meaning "baker". Baxter and is often added to lists like English Names for Boys and discussed in our forums with posts like "A brother or sister for little Jack or Olivia".
From the experts:
An x makes any name cooler, so that Baxter has a bit more pizzazz than the original Baker. Baxter had some currency as a first name a century ago--it was on the popularity lists sporadically from 1880 till the 1920s, peaking at Number 515 in 1886-- which means it's just about due for a comeback. And we can see Bax as a worthy follow-up to Max and Jax.
Singer Ian Dury named his now-grown son Baxter, and Dr. Baxter Stockman was a scientist in the "Teenage Mutant Ninja Turtle" series.